444030033430104 has 128 divisors (see below), whose sum is σ = 1213316131322880. Its totient is φ = 134296294809600.

The previous prime is 444030033430079. The next prime is 444030033430117. The reversal of 444030033430104 is 401034330030444.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 824282209 + ... + 824820719.

It is an arithmetic number, because the mean of its divisors is an integer number (9479032275960).

Almost surely, 2^{444030033430104} is an apocalyptic number.

444030033430104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444030033430104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606658065661440).

444030033430104 is an abundant number, since it is smaller than the sum of its proper divisors (769286097892776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

444030033430104 is a wasteful number, since it uses less digits than its factorization.

444030033430104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544521 (or 544517 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 444030033430104 its reverse (401034330030444), we get a palindrome (845064363460548).

The spelling of 444030033430104 in words is "four hundred forty-four trillion, thirty billion, thirty-three million, four hundred thirty thousand, one hundred four".